User Account

All Pages

Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Arrays, #question.Write a c++ program to accept and print a 1_d array

#question.Write a c++ program to accept and print a 1_d array

Program is to append the contents of one file to another, Program is to app...

Program is to append the contents of one file to another: void main()    {   clrscr();   fstream file1,file2;   char st1[13],st2[13];/* 13 because a filename canno

Type compatibility, Define  T y pe c o m p a t i b i li t y? ...

Define  T y pe c o m p a t i b i li t y? T o a s s i g n i n t t o s m a l l i n t t h e v a r i a b l e should b e

Data structure, how to convert a general tree into binary tree with example...

how to convert a general tree into binary tree with example

Padovan string ., #questio#A Padovan string P(n) for a natural number n is ...

#questio#A Padovan string P(n) for a natural number n is defined as: P(0) = ‘X’ P(1) = ‘Y’ P(2) = ‘Z’ P(n) = P(n-2) + P(n-3), n>2 where + denotes string concate

Data types, #question write a prog c & cpp

#question write a prog c & cpp

Classes, write a grading program for a class with the following grading pol...

write a grading program for a class with the following grading polices: a.there are two quizzes eaxh graded on the basis of 10 points b.there is ome midterm exam and one final exam

Testvita, program

program

What is the difference between structure and class, What is the difference ...

What is the difference between structure and class? - Members of structures are public while those of a class are private. - Classes provide data hiding while structures don

Decoding the messages, decodethecode

decodethecode

Write Your Message!

Captcha
Order Assignment

Featured Services

Order Now

Popular Subjects

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +91-977-207-8620

Phone: +91-977-207-8620

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd